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A simple pendulum with a bob of mass ' oscillates from to and back to such that is . If the acceleration due to gravity is '', then the velocity of the bob, as it passes through is

(a)
(b)
(c)
(d)Zero

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Important Questions on Oscillations
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In a second pendulum, mass of bob is . If it is replaced by mass, then its time period will be

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A heavy brass sphere is hung from a weightless inelastic cord and acts as a simple pendulum with its period of oscillation . The sphere is immersed in non-viscous liquid of density of the density of brass. Then it will act as a simple pendulum of period

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The bob of a simple pendulum performs S.H.M. with period In air and with period ' And ' Is (neglect friction due to water, density of the material of the bob is , density of water

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Two simple pendulums of length and respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed oscillations. The value of is then:-

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The acceleration due to gravity at a place is . Then the time period of a simple pendulum of length one metre is

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A simple pendulum of length is freely suspended from the ceiling of an elevator. The time period of small oscillations as the elevator moves up with an acceleration of ,

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Two simple pendulums and are made to oscillate simultaneously, and it is found that completes oscillations in and completes oscillations in . The ratio of the lengths of and is

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When the length of a simple pendulum is decreased by the period of oscillation is halved. The original length of the pendulum was
